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Election Analytics Blog

Dominic Skinnion, Harvard College

Incumbency

October 3, 2020


Background

While there is evidence to suggest that voters don’t select an incumbent just because they are an incumbent, there are various theories that suggest the institutional advantages that an incumbent President has can affect voters’ preferences.

In a randomized study by Adam Brown, it is shown that at the ballot, having “incumbent” next to a candidate’s name does not increase their vote share. In this way, voters do not care about incumbency qua incumbency (i.e. just the state of being an incumbent does not sway voters). However, this study does not investigate certain advantages from which incumbents benefit.

Some of these advantages include, but are not limited to:

Time For Change Model

The Time For Change Model rewards incumbent parties who have higher approval ratings, higher Q2 GDP Growth, and have only served 1 consecutive term.

Guided by Pollyvote’s recreation of Abramowitz’s Time For Change Model, I used available data from Gallup, The US Bureau of Economic Analysis – Department of Commerce, and former national elections from 1948-2016 in my training set. Abramowitz uses all prior years to an election to train his data, so I decided to do the same.

The Time For Change Model uses three variables to predict the Incumbent Party Vote Share (%):

Using training data from 1948-2016, the model is summarize below:

TFC MODEL

Using the coefficients, this gives us the equation:

(Predicted Incumbent Party Vote Share) = 47.55 + 0.11 * (Net Approval Rating) + 2.28 * (Q2 GDP Growth) + 4 * (First Term)

2020 Prediction

The Time For Change Model is not a good predictor for the 2020 election.

Using our known variables for 2020:

We predict Trump’s Two-Party Vote Share:

TFC MODEL PREDICTION

However, as noted before, the economy in 2020 is a huge outlier, because of the COVID-19 Pandemic. Because this model uses the economy as a predictor, we are extrapolating far outside the training set values, and thus we should be cautious. Because the Q2 GDP Growth is so low, this brings our prediction down significantly.

Abramowitz himself notes this in his article for UVA Center for Politics, and refines his own model with different variables. Using Net Approval in late October as his only predictor, Abramowitz now estimates the Electoral Vote instead of the Popular Vote for elections in which an Incumbent President is running.

Simplified Model

Using this same method we form a new simplified model, using the same Net Approval Rating data, and Presidential Election data from Wikipedia:

TFC2 MODEL

Using the coefficients, this gives us the equation:

(Predicted Incumbent Electoral Vote) = 272.73 + 5.19 * (Net Approval Rating)

This means that the model predicts for each additional percent in Net Approval Rating, an Incumbent President will earn about 5.19 more Electoral Votes.

It’s interesting to note that if the President’s Net Approval Rating were 0 (as many people disapproved of him as those who approved of him), the model predicts the slightest Electoral College victory for him (~273).

Simplified Model 2020 Prediction

For 2020, Trump’s most recent Net Approval Rating is -15%, so we get the following prediction:

TFC2 MODEL PREDICTION

This predicts Trump will lose with ~195 Electoral Votes. However, the upper bound on the 95% Confidence Interval is ~310, which would be a win for Trump, so this model does not definitively predict a win for Biden.

Comparison to Polling Model

It seems that the Polling Model is a better predictor for the 2020 election, based on the fact that the Time For Change Model uses the economy as a predictor, which as discussed will not be too helpful for the 2020 election prediction.

However, the Simplified Model (using only Net Approval Ratings) does seem to do a moderately good job at predicting the electoral vote with an R-Squared Score of 0.66, which is not amazing, but not awful.

Since the Simplified Model predicts the electoral vote and the Polling Model predicts the popular vote, it is difficult to directly compare the two. However, they do both predict a Biden win.

In future models, it may be a good idea to possibly combine both of these models, by making them both predict the electoral vote or both predict the popular vote (or possibly both).